MCQOPTIONS
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MCQOPTIONS
This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Linear Algebra knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is the volume of a cube with side a? |
| A. | \(\frac{a^3}{8} \) |
| B. | \(a^2\) |
| C. | \(a^3\) |
| D. | \(\frac{a2}{4} \) |
| Answer» D. \(\frac{a2}{4} \) | |
| 2. |
Evaluate \(\int_{-1}^1 \int_0^z \int_{x-z}^{x+z}(x+y+z)dxdydz.\) |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» B. 1 | |
| 3. |
To find volume _________________ can be used. |
| A. | single integration |
| B. | double integration |
| C. | triple integration |
| D. | double & triple integration |
| Answer» E. | |
| 4. |
In multiple integrals, if the limits depends on variable, then the order of integration can be anything. |
| A. | True |
| B. | False |
| Answer» C. | |
| 5. |
Using polar coordinates, find the volume of the cylinder with radius a and height h. |
| A. | \(πa^2h \) |
| B. | \(\frac{πa^2h}{3} \) |
| C. | \(2 \frac{πa^2h}{3} \) |
| D. | \( 4 \frac{πa^2h}{3} \) |
| Answer» B. \(\frac{πa^2h}{3} \) | |
| 6. |
Find the volume of sphere by triple integration. |
| A. | \(8a^3 \frac{π}{3} \) |
| B. | \(4a^3 \frac{π}{3} \) |
| C. | \(2a^3 \frac{π}{3} \) |
| D. | \(a^3 \frac{π}{3} \) |
| Answer» C. \(2a^3 \frac{π}{3} \) | |
| 7. |
Find the volume of the cylinder bounded by x2+y2 = 4, y+z = 4 and z=0. |
| A. | \(16π-\frac{32}{3} \) |
| B. | \(32π-\frac{32}{3} \) |
| C. | \(16-32 \frac{π}{3} \) |
| D. | \(32-32 \frac{π}{3} \) |
| Answer» B. \(32π-\frac{32}{3} \) | |
| 8. |
Find the value of \(\int_0^1 \int_0^2 \int_1^2 xy^2 z^3 dxdydz.\). |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» E. | |